论文标题

信息几何形状中梯度流程方程的Weyl几何方法

A Weyl geometric approach to the gradient-flow equations in information geometry

论文作者

Wada, Tatsuaki

论文摘要

从可韦尔可集成的几何形状的角度重新考虑了相对于信息几何的电势函数的梯度流程方程。与梯度流程方程相关的地形前方程被认为是可Weyl可积分几何形状中的一般地面前方程。

The gradient-flow equations with respect to the potential functions in information geometry are reconsidered from the perspective of the Weyl integrable geometry. The pre-geodesic equations associated with the gradient-flow equations are regarded as the general pre-geodesic equations in the Weyl integrable geometry.

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